Verified answer

Объяснение:

Будем использовать 2 формулы сокращённого умножения:

• [tex]{(a + b) }^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]
• [tex]{(a - b) }^{2} = {a}^{2} - 2ab + {b}^{2} [/tex]

а)

[tex]{3.2}^{2} ={ ( 3 + 0.2) }^{2} = 9 + 1.2 + 0.04 = 10.24[/tex]

б)

[tex]{6.3 }^{2} = {(6 + 0.3) }^{2} = 36 + 3.6 + 0.09 = 39.69[/tex]

в)

[tex] {6.5}^{2} = {(6 + 0.5)}^{2} = 36 + 6 + 0.25 = 42.25[/tex]

г)

[tex] {2.95}^{2} ={ (3 - 0.05) }^{2} = 9 - 0.3 + 0.0025 = 8.7025[/tex]

д)

[tex] {9.99}^{2} = {(10 - 0.01)}^{2} = 100 - 0.2 + 0.0001 = 99.8001[/tex]

е)

[tex] {7.06}^{2} = {(7 + 0.06)}^{2} = 49 + 0.84 + 0.0036 = 49.8436[/tex]

Ответ:

[tex] {3.2}^{2} = (3 + 0.2 {)}^{2} = {3}^{2} + 2 \times 3 \times 0.2 + 0. {2}^{2} = 9 + 1.2 + 0.04 = 10.24 \\ {6.3}^{2} = ( {6 + 0.3)}^{2} = {6}^{2} + 2 \times 6 \times 0.3 + {0.3}^{2} = 36 + 3.6 + 0.09 = 39.69 \\ 6.5^{2} = {(6 + 0.5)}^{2} = {6}^{2} + 2 \times 6 \times 0.5 + 0. {5}^{2} = 36 + 6 + 0.25 = 42.25 \\ 2.95^{2} = (3 - 0.05)^{2} = {3}^{2} - 2 \times 3 \times 0.05 + 0. {05}^{2} = 9 - 0.3 + 0.0025 = 8.7025 \\ 9.99^{2} = (10 - 0.01)^{2} = {10}^{2} - 2 \times 10 \times 0.01 + 0. {01}^{2} = 100 - 0.2 + 0.0001 = 99.8001 \\ 7. {06}^{2} = (7 + 0.06 {)}^{2} = {7}^{2} + 2 \times 7 \times 0.06 + {0.06}^{2} = 49 + 0.84 + 0.0036 =49.8436[/tex]